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# Mystic Rose

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Age 14 to 16

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How many lines are drawn at each stage of construction of the
mystic rose?

Now look at the completed mystic rose - can you describe how many lines are drawn from each point?

How do these relate to "Alison's method" and "Charlie's method"?

Now look at the completed mystic rose - can you describe how many lines are drawn from each point?

How do these relate to "Alison's method" and "Charlie's method"?

P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?

The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...

A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?